Details

Time bar (total: 1.7s)

analyze2.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample23.0ms (1.4%)

Algorithm
intervals
Results
11.0ms256×pre128true
5.0ms256×body128valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify165.0ms (9.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
07010
17010

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (+.f64 a b) (+.f64 a b))

rewrite15.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64_2143
pow1_binary64_2204
add-sqr-sqrt_binary64_2165
distribute-lft-out_binary64_2094 flip3-+_binary64_2146 flip-+_binary64_2117 swap-sqr_binary64_2110
add-cube-cbrt_binary64_2178
frac-times_binary64_2153 associate-*r*_binary64_2083 associate-*l*_binary64_2084
add-exp-log_binary64_2181 add-cbrt-cube_binary64_2179
associate-*l/_binary64_2086 associate-*r/_binary64_2085
add-log-exp_binary64_2182 pow2_binary64_2224 distribute-rgt-in_binary64_2093 pow-sqr_binary64_2116 pow-plus_binary64_2206 pow-prod-up_binary64_2213 cbrt-unprod_binary64_2176 pow-prod-down_binary64_2214 prod-exp_binary64_2192 unswap-sqr_binary64_2111 *-commutative_binary64_2074 distribute-lft-in_binary64_2092
Counts
1 → 40
Calls

1 calls:

12.0ms
(*.f64 (+.f64 a b) (+.f64 a b))

series32.0ms (1.9%)

Counts
1 → 3
Calls

1 calls:

31.0ms
(*.f64 (+.f64 a b) (+.f64 a b))

simplify42.0ms (2.5%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05458523

prune40.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0.0b

Counts
44 → 4
Compiler

Compiled 619 to 281 computations (54.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(pow.f64 (+.f64 a b) 6)
0.5b
(cbrt.f64 (pow.f64 (+.f64 a b) 6))

rewrite12.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64_2143
unpow-prod-down_binary64_2222 cbrt-prod_binary64_2174
add-sqr-sqrt_binary64_2165 add-cube-cbrt_binary64_2178
pow1_binary64_2204 pow-unpow_binary64_2220 add-exp-log_binary64_2181
add-log-exp_binary64_2182 distribute-lft-out_binary64_2094 sqr-pow_binary64_2115 add-cbrt-cube_binary64_2179
pow-to-exp_binary64_2212 pow-pow_binary64_2215 pow-exp_binary64_2211 pow1/3_binary64_2225
Counts
2 → 34
Calls

2 calls:

5.0ms
(cbrt.f64 (pow.f64 (+.f64 a b) 6))
5.0ms
(pow.f64 (+.f64 a b) 6)

series162.0ms (9.7%)

Counts
2 → 6
Calls

2 calls:

136.0ms
(pow.f64 (+.f64 a b) 6)
25.0ms
(cbrt.f64 (pow.f64 (+.f64 a b) 6))

simplify79.0ms (4.7%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04952455
14952455

prune35.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New39140
Fresh112
Picked011
Done101
Total41344

Merged error: 0b

Counts
44 → 3
Compiler

Compiled 514 to 322 computations (37.4% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 a (+.f64 a (*.f64 b 2)))
0.0b
(+.f64 (*.f64 b b) (*.f64 a (+.f64 a (*.f64 b 2))))

rewrite14.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_2165
pow1_binary64_2204 add-log-exp_binary64_2182 add-exp-log_binary64_2181 add-cube-cbrt_binary64_2178 *-un-lft-identity_binary64_2143 add-cbrt-cube_binary64_2179
associate-*r*_binary64_2083 associate-*l*_binary64_2084
distribute-rgt-in_binary64_2093 associate-+r+_binary64_2075 associate-*r/_binary64_2085 flip3-+_binary64_2146 flip-+_binary64_2117 distribute-lft-in_binary64_2092
+-commutative_binary64_2073 cbrt-unprod_binary64_2176 sum-log_binary64_2234 pow-prod-down_binary64_2214 prod-exp_binary64_2192 unswap-sqr_binary64_2111 *-commutative_binary64_2074
Counts
2 → 35
Calls

2 calls:

6.0ms
(*.f64 a (+.f64 a (*.f64 b 2)))
5.0ms
(+.f64 (*.f64 b b) (*.f64 a (+.f64 a (*.f64 b 2))))

series86.0ms (5.2%)

Counts
2 → 6
Calls

2 calls:

49.0ms
(*.f64 a (+.f64 a (*.f64 b 2)))
37.0ms
(+.f64 (*.f64 b b) (*.f64 a (+.f64 a (*.f64 b 2))))

simplify79.0ms (4.7%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04962646
14962646

prune33.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New41041
Fresh011
Picked011
Done011
Total41344

Merged error: 0b

Counts
44 → 3
Compiler

Compiled 693 to 373 computations (46.2% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(log.f64 (+.f64 a b))
0.9b
(exp.f64 (*.f64 2 (log.f64 (+.f64 a b))))

rewrite12.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
12×log-prod_binary64_2229
11×*-un-lft-identity_binary64_2143
exp-sum_binary64_2189
add-sqr-sqrt_binary64_2165 add-cube-cbrt_binary64_2178
add-log-exp_binary64_2182 distribute-rgt-in_binary64_2093 distribute-lft-in_binary64_2092
pow1_binary64_2204 add-exp-log_binary64_2181 distribute-lft-out_binary64_2094
log-div_binary64_2230 add-cbrt-cube_binary64_2179
rem-log-exp_binary64_2184 exp-prod_binary64_2195 rem-exp-log_binary64_2183 flip3-+_binary64_2146 log-pow_binary64_2232 exp-to-pow_binary64_2205 flip-+_binary64_2117
Counts
2 → 33
Calls

2 calls:

6.0ms
(exp.f64 (*.f64 2 (log.f64 (+.f64 a b))))
4.0ms
(log.f64 (+.f64 a b))

series96.0ms (5.8%)

Counts
2 → 6
Calls

2 calls:

68.0ms
(log.f64 (+.f64 a b))
28.0ms
(exp.f64 (*.f64 2 (log.f64 (+.f64 a b))))

simplify87.0ms (5.2%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04898373
14898373

prune25.0ms (1.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New39039
Fresh000
Picked011
Done022
Total39342

Merged error: 0b

Counts
42 → 3
Compiler

Compiled 384 to 191 computations (50.3% saved)

regimes36.0ms (2.2%)

Compiler

Compiled 101 to 96 computations (5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01316
11316

end0.0ms (0%)

sample563.0ms (33.8%)

Algorithm
intervals
Results
185.0ms8000×pre128true
138.0ms8000×body128valid
Compiler

Compiled 66 to 50 computations (24.2% saved)

Profiling

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